Wladyslaw A. Majewski
Published 2014-05-14Version 1
Using Grothendieck approach to the tensor product of locally convex spaces we review a characterization of positive maps as well as Belavkin-Ohya characterization of PPT states. Moreover, within this scheme, \textit{ a generalization of the idea of Choi matrices for genuine quantum systems will be presented}.
Comments: Paper dedicated to the memory of Viacheslav "Slava" Belavkin. arXiv admin note: text overlap with arXiv:1005.3949
Abstract algebra, projective geometry and time encoding of quantum information
Monotonicity of the Quantum Relative Entropy Under Positive Maps
Interpolating between positive and completely positive maps: a new hierarchy of entangled states
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